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The process of predicting changes in the levels of groundwater and pressure water and salt concentration in layers with good and poor conductivity is discussed in the article. Research and decision-making on this process using mathematical modeling is an urgent problem. A brief analysis of scientific papers devoted to mathematical and numerical modeling of the object under study is presented. To conduct a comprehensive study of the process under consideration, a model and an efficient numerical algorithm based on the finite difference method were developed. It has been studied that changes in the level of ground and pressure water, filtration permeability, water loss coefficient and filtration rate associated with the water level can have a serious impact on the environmental process. As follows from the analysis of the computational experiments, the main factors that significantly affect the filtration of ground and pressure waters and salt concentration are filtration conductivity in the layers, water loss coefficient, and filtration flow velocity in the layers. The results obtained based on these developed numerical algorithms were analyzed. Before introducing new technologies, recommendations were developed to predict changes in salt content in water using an effective numerical algorithm. [ABSTRACT FROM AUTHOR]

The paper deals with the development of three-dimensional model and numerical algorithm which is based on the method of coordinate splitting. The mathematical model is intended for analysis and forecasting the gas filtration in porous media. The method of coordinate splitting made it possible to reduce the initial problem to three locally one-dimensional problems and to reduce the computation time through decreasing the number of computational steps. The model and numerical algorithm can be used in solving design problems or refinement of gas fields, as well as problems of gas production process forecasting. [ABSTRACT FROM AUTHOR]